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Root Locus for a Closed Loop System

Sketch the root locus for the following closed loop system {see attachment} as {SYMBOL1} varies from -{SYMBOL2} to +{SYMBOL2}. You should calculate all steps and show the positive and negative gain loci. It is recommended that you first find the positive locus and then sketch the negative {SYMBOL2} locus.
(Real axis solutions of {see attachment} are s = + 1.061 and s = +3.605. Do not attempt to solve for other solutions)

*Please see attachment for proper citation of symbols and closed loop system diagram.

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It can be seen that this close loop system with unity feedback is equivalent to the following block diagram (see attachment) where K is a proportional gain and H(s) is an open-loop transfer function.

It can be seen that the variable alpha in the transfer function of the original ...

Solution Summary

This solution sketched an equivalent block diagram sketch for the closed loop system with unity feedback where K is a proportional gain and H(s) is an open-loop transfer function. 16 equations and 4 graphs are used in determining and explaining this solution. 625 words.

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